66277 ÷ 8 = 8284 R5
Alright, let's work through the division of 66277 by 8 step by step.

Step 1:
8 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 8

Step 2:
8 goes into 66 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 64 from 66 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 8

Step 3:
8 goes into 22 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 82
Subtract 16 from 22 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 8

Step 4:
8 goes into 67 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 828
Subtract 64 from 67 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 8

Step 5:
8 goes into 37 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 8284
Subtract 32 from 37 to get 5.

The final result is 8284 with a remainder of 5.